Question

How do you complete the ordered pairs so that each ordered pair satisfies the given equation (3, a), (b, -1), 4x - 3y = 7?

Answer 1

`(3,color(red)(a)) = (3,color(red)(5/3))`
and `(color(blue)(b),-1)=(color(blue)(1),-1)`

Explanation:

Given `4x-3y=7`

Point 1
If `(x,y) = (3,a)`
`color(white)("XXX")4(3)-3(a)=7`

`color(white)("XXX")rarr 12-3a=7`

`color(white)("XXX")rarr -3a= -5`

`color(white)("XXX")rarr a = 5/3`

Point 2
if `(x,y)= (b,-1)`
`color(white)("XXX")4(b)-3(-1)=7`

`color(white)("XXX")rarr 4b+3=7`

`color(white)("XXX")rarr 4b=4`

`color(white)("XXX")rarr b=1`